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Here we present a theoretical study of the sensing capability of a biosensor based on localized surface plasmons (LSP). The sensing structure consists of an array of gold cylinders which support coupling of LSP with Rayleigh anomalies, resulting in a narrow line spectrum. We utilize numerical simulations pertaining to both the photonic and masstransfer aspects of this sensor, where the sensor performance as a function of various fabrication parameters is investigated and compared with a conventional surface plasmon resonance sensor. The simulations predict an improvement in the limit of detection (LOD) of such a device.